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On the potential in thermodiffusion in solid body

In: Icpt ’91

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  • Jerzy A. Gawinecki

    (Military Technical Academy, Department of Mathematics)

Abstract

In this paper we extend the results of the common paper with P. Wagner (cf. [5]) to the linear coupled system of five hyperbolic-parabolic partial differential equations of second order describing thermodiffusion in solid body. Using the Hilbert-Lévy method, we construct the matrix of fundamental solutions for the principal part and for the entire system of these equations. On the base of the method of potential theory, the solution of the Cauchy problem for the principal part of this system is obtained.

Suggested Citation

  • Jerzy A. Gawinecki, 1994. "On the potential in thermodiffusion in solid body," Springer Books, in: Emile Bertin (ed.), Icpt ’91, pages 221-234, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-1118-8_17
    DOI: 10.1007/978-94-011-1118-8_17
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